3406918320 has 720 divisors, whose sum is σ = 13827052512. Its totient is φ = 776355840.

The previous prime is 3406918283. The next prime is 3406918327. The reversal of 3406918320 is 238196043.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3406918327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55851090 + ... + 55851150.

Almost surely, 2^3406918320 is an apocalyptic number.

3406918320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913526256).

3406918320 is an abundant number, since it is smaller than the sum of its proper divisors (10420134192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3406918320 is a wasteful number, since it uses less digits than its factorization.

3406918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3406918320 is about 58368.8129055234. The cubic root of 3406918320 is about 1504.7138111392.

The spelling of 3406918320 in words is "three billion, four hundred six million, nine hundred eighteen thousand, three hundred twenty".